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Finding the Fourth Proportional to 512,995.44, 769,575.90 and 158,009.34

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Solution

The fourth proportional to 512,995.44, 769,575.90 and 158,009.34 is: 237,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,995.44 : 769,575.90 = 158,009.34 : x
  2. Step 2: Convert to fraction form
    512,995.44/769,575.90 = 158,009.34/x
  3. Step 3: Cross multiply
    512,995.44x = 769,575.90 × 158,009.34
  4. Step 4: Simplify right side
    512,995.44x = 121,600,180,038.91
  5. Step 5: Solve for x
    x = 121,600,180,038.91/512,995.44
  6. Step 6: Final answer
    x = 237,039.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.